代数曲线

This paper first summarizes recent researches on this topic, and then proposes some methods for curve modeling with cubic algebraic curve based on pure geometric constraints that involve control points, tangent directions and curvatures.

然后提出了一种基于几何约束的三次代数曲线的插值方法，该方法完全通过几何量如控制顶点、切线和曲率来控制三次代数曲线的形状，使得对三次代数曲线的编辑与对三次 B-样条曲线的编辑一样灵活方便。

In the four section, from the interpolationdimension of an algebraic curve and an algebraic surface,using theoryand method of algebraic geometry, we get some interpolation of analgebraic curve and an algebraic surface, and we prove the reasonableof the interpolation dimension of an algebraic curve and an algebraicsurface.

第四章我们从沿代数曲线曲面空间的插值维数出发，利用代数几何理论与方法，给出了代数曲线曲面上的基本插值结构，并证明了我们长期应用的其上的插值维数公式的合理性。

Applying multivariate spline theory which was established by Wang RenHong in ( [1] , [2] ), the Nother theorem of algebraic curve [71] is generalized to the piecewise algebraic curve.

1：利用王仁宏在文献（[1]，[2]）中关于多元样条函数的基本理论，本文将代数曲线的Nother定理（[71]）推广到分片代数曲线上，给出了剖分为〓，和星形剖分上的C〓分片Nother型定理。

The cubic algebraic curves (the Bezier curve and B style curve, etc belong to the parameter curve) is apter to realize the curve transition and fitting to dispersed data than the cubic parametric curves.

比如参数曲面与平面的交线就是一条平面代数曲线；平面参数曲线的等距曲线也是一条代数曲线。

The paper applies algebraic geometry, computational geometry, approximation theory to study the following problems: the Nother type theory and the Riemann-Roch type theory of the piecewise algebraic curve; the number of real intersection points of piecewise algebraic curves; the real piecewise algebraic variety and the B-net resultant of polynomials.

本文应用代数几何，计算几何，函数逼近论等学科的基本理论，分别就分片代数曲线的Nother型与Riemann-Roch型定理；分片代数曲线的实交点数；实分片代数簇以及多项式的B-网结式进行研究。

In this paper, we summarize the foundations of Algebraic function fields, algebraic curves over finite fields and algebraic geometry codes, then we focus on the dimensions of codes on the quotient of the hermitian curves, by using the theory of weierstrass semigroup and the idea of Ho...

我们在系统地总结了代数函数域，有限域上的代数曲线和代数几何码的基本知识的基础上，利用Weierstrass子半群理论，使用Homma和Kim的方法，讨论了Hermite曲线商域上码的维数问题，得到的主要结果如下： 1。

In the first part of the paper, we construct a family of 1 parameter cubic algebraic curves interpolating four given points and two tangent lines at the endpoints, and one can manipulate the shape of cubic algebraic curves by controlling the points or the tangent line directly.

该文提出的代数曲线的结构有两种，一种是插值平面上四点及两端点切线的三次代数曲线；另一种是插值两端点、两切线及两曲率的三次代数曲线。

This problem of planar parametric polynomial curve of degree 3 had been discussed perfectly many years ago, making use of invariant of affine transformation.

关于三次代数多项式参数曲线的这一问题早已解决，然而所用的几何不变量方法对于非代数曲线失效。

This paper introduces the fundamental principle of smoothness and prediction in use of grey theory in passive angle tracking, and constitutes the module of smoothness and prediction based on the grey algebraical curve model.

介绍了利用灰色理论在无源角度跟踪中进行平滑预测的基本原理，建立了基于灰色代数曲线模型的平滑预测模块，并通过计算机仿真说明灰色代数曲线模型较灰色微分方程等其它几种模型更适合于无源角度跟踪中的平滑预测，并就几种模型的应用范围作了比较。

The main content reads as follows: Chapter 1 gives a survey on the three methods by which regular geometric modeling can be rended, including parametric curves/surfaces modeling method, algebraic curves/surfaces modeling method and subdivision. Moreover we introduce in greater detail about two means for subdivision which fit into two class: geometric subdivision and algebraic subdivision.

全文主要内容如下：第一章首先对CAGD中构造&规则几何形体&的三类造型方法：参数曲线、曲面造型方法，代数曲线、曲面造型方法及细分法——曲线、曲面的离散化造型方法，作了较系统的综述，并对两类主要的细分法——几何方法与代数方法，作了较详细的介绍。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。